6(5k-8)-20=-3(5-9x)+3k

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Solution for 6(5k-8)-20=-3(5-9x)+3k equation:


Simplifying
6(5k + -8) + -20 = -3(5 + -9x) + 3k

Reorder the terms:
6(-8 + 5k) + -20 = -3(5 + -9x) + 3k
(-8 * 6 + 5k * 6) + -20 = -3(5 + -9x) + 3k
(-48 + 30k) + -20 = -3(5 + -9x) + 3k

Reorder the terms:
-48 + -20 + 30k = -3(5 + -9x) + 3k

Combine like terms: -48 + -20 = -68
-68 + 30k = -3(5 + -9x) + 3k
-68 + 30k = (5 * -3 + -9x * -3) + 3k
-68 + 30k = (-15 + 27x) + 3k

Reorder the terms:
-68 + 30k = -15 + 3k + 27x

Solving
-68 + 30k = -15 + 3k + 27x

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-3k' to each side of the equation.
-68 + 30k + -3k = -15 + 3k + -3k + 27x

Combine like terms: 30k + -3k = 27k
-68 + 27k = -15 + 3k + -3k + 27x

Combine like terms: 3k + -3k = 0
-68 + 27k = -15 + 0 + 27x
-68 + 27k = -15 + 27x

Add '68' to each side of the equation.
-68 + 68 + 27k = -15 + 68 + 27x

Combine like terms: -68 + 68 = 0
0 + 27k = -15 + 68 + 27x
27k = -15 + 68 + 27x

Combine like terms: -15 + 68 = 53
27k = 53 + 27x

Divide each side by '27'.
k = 1.962962963 + x

Simplifying
k = 1.962962963 + x

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